Pith Number

pith:3W7NUDKY

pith:2013:3W7NUDKYOZJIETFOUVNH6TI4OW

not attested not anchored not stored refs pending

Generalizing Krawtchouk polynomials using Hadamard matrices

Bernd Sing, Norris Sookoo, Peter S Chami

arxiv:1307.5777 v1 · 2013-07-22 · math.CO · math.CA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3W7NUDKYOZJIETFOUVNH6TI4OW}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-17T23:40:05.131153Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ddbeda0d587652824caea55a7f4d1c75943674ddf16ca3f1ddf86fb7c66380e7

Aliases

arxiv: 1307.5777 · arxiv_version: 1307.5777v1 · doi: 10.48550/arxiv.1307.5777 · pith_short_12: 3W7NUDKYOZJI · pith_short_16: 3W7NUDKYOZJIETFO · pith_short_8: 3W7NUDKY

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/3W7NUDKYOZJIETFOUVNH6TI4OW \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: ddbeda0d587652824caea55a7f4d1c75943674ddf16ca3f1ddf86fb7c66380e7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a598f23f4006ca0cca809fb1564d15ba4ca0eaf778abc1ccdb4d745d32fe4235",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-07-22T17:02:38Z",
    "title_canon_sha256": "7b8b9fcf4fb77ccb6b6a91720a8b9f2c48e1e6bc785348898acb2f6fe77cf8dc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.5777",
    "kind": "arxiv",
    "version": 1
  }
}